The Schwarzschild Metric (with ##c=1##),(adsbygoogle = window.adsbygoogle || []).push({});

$$ds^2 = -\Big(1-\frac{2GM}{r}\Big)dt^2+\Big(1-\frac{2GM}{r}\Big)^{-1}dr^2+r^2d\Omega^2$$

can be adjusted to a form involving three rectangular coordinates ##x##, ##y##, and ##z##:

$$ds^2 = -\Big(1-\frac{2GM}{R}\Big)dt^2+\Big(1-\frac{2GM}{R}\Big)^{-1}\big(dx^2+dy^2+dz^2\big)$$

where ##R=\sqrt{x^2+y^2+z^2}##.

Is it possible for one to transform to coordinates that are boosted in the direction of one of the aforementioned coordinates, like one can do with the Minkowski spacetime? (In these coordinates, the black hole would be moving.)

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# I Moving Schwarzschild Black Hole

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